Two on/off switches on one pedal

[harshaw61]

I have a Fulltone ST-1 tremolo—

I'm hoping to convert the foot switch that controls half/full speed to a momentary switch for the whole unit, allowing me to apply sudden bursts of tremolo rather than turning the unit on and off with two clicks. (To be clear, I want both switches to function as on/off switches.)

I had thought this would simply be a matter of replacing the switch (with a momentary one) and wiring it with the on/off switch like a three-way light bulb switch in a house. But it turns out Fulltone uses 3PDT on/off switches that are fully wired (to capacitors? to prevent switch popping? that's my best guess). Does that mean this is impossible?

Any help is appreciated. Forgive my ignorance.